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Finding the Fourth Proportional to 688.40, 949.98 and 377.90

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Solution

The fourth proportional to 688.40, 949.98 and 377.90 is: 521.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.40 : 949.98 = 377.90 : x
  2. Step 2: Convert to fraction form
    688.40/949.98 = 377.90/x
  3. Step 3: Cross multiply
    688.40x = 949.98 × 377.90
  4. Step 4: Simplify right side
    688.40x = 358,997.44
  5. Step 5: Solve for x
    x = 358,997.44/688.40
  6. Step 6: Final answer
    x = 521.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.